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Finding the Fourth Proportional to 6,968.66, 9,616.77 and 3,781.97

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Solution

The fourth proportional to 6,968.66, 9,616.77 and 3,781.97 is: 5,219.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,968.66 : 9,616.77 = 3,781.97 : x
  2. Step 2: Convert to fraction form
    6,968.66/9,616.77 = 3,781.97/x
  3. Step 3: Cross multiply
    6,968.66x = 9,616.77 × 3,781.97
  4. Step 4: Simplify right side
    6,968.66x = 36,370,287.55
  5. Step 5: Solve for x
    x = 36,370,287.55/6,968.66
  6. Step 6: Final answer
    x = 5,219.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.